Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 1966401548] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3298 geometric_solution 6.42818695 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732431472521 0.999668207789 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536603365735 0.725139346593 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 0 1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536603365735 0.725139346593 4 1 4 2 1302 0132 2031 2310 0 0 0 0 0 -1 1 0 -1 0 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406519404344 0.823019823194 2 3 1 3 2310 2031 0132 1302 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734659704744 0.807277998292 2 6 6 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577961389327 0.503020430026 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.660487579454 0.648637247351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 46321863505886035322/594487013044618235*c_0101_5*c_0101_6^11 - 460828029706470256686/594487013044618235*c_0101_5*c_0101_6^10 - 697271150814971073623/1188974026089236470*c_0101_5*c_0101_6^9 - 259478947460046745885/237794805217847294*c_0101_5*c_0101_6^8 + 63959051224340172643/5886010030144735*c_0101_5*c_0101_6^7 - 748242592038779924529/11772020060289470*c_0101_5*c_0101_6^6 + 47127384687497743947917/1188974026089236470*c_0101_5*c_0101_6^5 - 2703554684267622451449/1188974026089236470*c_0101_5*c_0101_6^4 + 32844200811202385725613/1188974026089236470*c_0101_5*c_0101_6^3 + 3106470570415140941219/1188974026089236470*c_0101_5*c_0101_6^2 + 140644516075534660159/62577580320486130*c_0101_5*c_0101_6 + 164379454875647238654/594487013044618235*c_0101_5, c_0011_0 - 1, c_0011_4 - 678857758857314/6257758032048613*c_0101_5*c_0101_6^11 - 13104047502477083/12515516064097226*c_0101_5*c_0101_6^10 - 3172033066933140/6257758032048613*c_0101_5*c_0101_6^9 - 17316404625421835/12515516064097226*c_0101_5*c_0101_6^8 + 960488205369395/61958000317313*c_0101_5*c_0101_6^7 - 5771193146542245/61958000317313*c_0101_5*c_0101_6^6 + 518936409643656394/6257758032048613*c_0101_5*c_0101_6^5 - 356184851865465891/12515516064097226*c_0101_5*c_0101_6^4 + 284431536677040077/6257758032048613*c_0101_5*c_0101_6^3 - 113174075925566273/12515516064097226*c_0101_5*c_0101_6^2 + 54486055806633769/12515516064097226*c_0101_5*c_0101_6 + 5942777467817049/12515516064097226*c_0101_5, c_0101_0 - 527399310515515/6257758032048613*c_0101_6^11 - 10516257022365129/12515516064097226*c_0101_6^10 - 3979330804741352/6257758032048613*c_0101_6^9 - 12877939199594953/12515516064097226*c_0101_6^8 + 734793311269124/61958000317313*c_0101_6^7 - 4231352944264451/61958000317313*c_0101_6^6 + 244681297710172154/6257758032048613*c_0101_6^5 + 146442307289917063/12515516064097226*c_0101_6^4 + 143674350928895646/6257758032048613*c_0101_6^3 - 2430206129097033/12515516064097226*c_0101_6^2 - 7627235796575069/12515516064097226*c_0101_6 - 6309017178196209/12515516064097226, c_0101_1 + 473107674669197/12515516064097226*c_0101_6^11 + 2258829003925372/6257758032048613*c_0101_6^10 + 1691612622582957/12515516064097226*c_0101_6^9 + 2648080261142249/6257758032048613*c_0101_6^8 - 340331075683733/61958000317313*c_0101_6^7 + 2039435473370640/61958000317313*c_0101_6^6 - 396916317396904731/12515516064097226*c_0101_6^5 + 60408476254126457/6257758032048613*c_0101_6^4 - 187848429399870813/12515516064097226*c_0101_6^3 + 32762607523199721/12515516064097226*c_0101_6^2 + 11669715943341135/12515516064097226*c_0101_6 + 678857758857314/6257758032048613, c_0101_2 - 3048357793684062/6257758032048613*c_0101_5*c_0101_6^11 - 30222565301617582/6257758032048613*c_0101_5*c_0101_6^10 - 21886310227181239/6257758032048613*c_0101_5*c_0101_6^9 - 41614963926561753/6257758032048613*c_0101_5*c_0101_6^8 + 4229653131981845/61958000317313*c_0101_5*c_0101_6^7 - 24755854409641100/61958000317313*c_0101_5*c_0101_6^6 + 1632412168192288046/6257758032048613*c_0101_5*c_0101_6^5 - 126952670749019875/6257758032048613*c_0101_5*c_0101_6^4 + 1105614871171771473/6257758032048613*c_0101_5*c_0101_6^3 + 52232045383412428/6257758032048613*c_0101_5*c_0101_6^2 + 68645622084146803/6257758032048613*c_0101_5*c_0101_6 - 85714969577234/6257758032048613*c_0101_5, c_0101_5^2 + 317054339968064/6257758032048613*c_0101_6^11 + 3152376449283937/6257758032048613*c_0101_6^10 + 2321502133141741/6257758032048613*c_0101_6^9 + 3965712427172659/6257758032048613*c_0101_6^8 - 440899042981488/61958000317313*c_0101_6^7 + 2558284589395604/61958000317313*c_0101_6^6 - 156093194542168283/6257758032048613*c_0101_6^5 - 28679852632720315/6257758032048613*c_0101_6^4 - 86533057871949212/6257758032048613*c_0101_6^3 - 7331187168262120/6257758032048613*c_0101_6^2 + 975995476378614/6257758032048613*c_0101_6 - 1433347802807955/6257758032048613, c_0101_6^12 + 10*c_0101_6^11 + 8*c_0101_6^10 + 14*c_0101_6^9 - 139*c_0101_6^8 + 808*c_0101_6^7 - 461*c_0101_6^6 - 30*c_0101_6^5 - 330*c_0101_6^4 - 55*c_0101_6^3 - 16*c_0101_6^2 - 5*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB